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Publications Influence

Symmetries of Equations of Quantum Mechanics

- A. Nikitin, W. I. Fushchich, V. I. Fushchich
- Physics
- 1 September 1994

Table of

216 12- PDF

Solitary wave and other solutions for nonlinear heat equations

- A. Nikitin, T. Barannyk
- Mathematics, Physics
- 2 March 2003

A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave… Expand

36 3- PDF

Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins

- J. Niederle, A. Nikitin
- Physics
- 28 November 2001

New formulation of relativistic wave equations (RWE) for massive particles with arbitrary half-integer spins s interacting with external electromagnetic fields are proposed. They are based on wave… Expand

17 2- PDF

Group Classification of Nonlinear Schrödinger Equations

- A. Nikitin, R. Popovych
- Mathematics, Physics
- 1 August 2001

We propose an approach to problems of group classification. By using this approach, we perform a complete group classification of nonlinear Schrödinger equations of the form iψt + Δψ + F(ψ, ψ*) = 0.

59 1- PDF

Extended Poincaré parasuperalgebra with central charges and invariant wave equations

- A. Nikitin, A. Galkin
- Physics
- 1 December 2000

We describe irreducible representations of the extended Poincare parasuperalgebra (PPSA) which includes an arbitrary number N of parasupercharges, n (n≤{N/2}) central charges and an internal symmetry… Expand

2 1- PDF

Reduction of the representations of the generalised Poincare algebra by the Galilei algebra

- V. I. Fushchich, A. Nikitin
- Mathematics
- 1 July 1980

The realisations of all classes of unitary irreducible representations of the generalised Poincare group P(1,4) have been found in a basis in which the Casimir operators of its important subgroup,… Expand

20 1- PDF

Galilei invariant theories: I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions

- M. Montigny, J. Niederle, A. Nikitin
- Physics, Mathematics
- 1 April 2006

All indecomposable finite-dimensional representations of the homogeneous Galilei group which when restricted to the rotation subgroup are decomposed to spin-0, -1/2 and -1 representations are… Expand

25 1- PDF

Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group

- J. Niederle, A. Nikitin
- Physics
- 1 October 2006

We discuss finite-dimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1/2 and 1 representations. In particular we… Expand

9 1- PDF

Non-Lie and Discrete Symmetries of the Dirac Equation

- J. Niederle, A. Nikitin
- Physics
- 1997

New algebras of symmetries of the Dirac equation are presented, which are formed by linear and antilinear first‐order dierential operators. These symmetries are applied to decouple the Dirac equation… Expand

9 1- PDF

Generalized Killing Tensors and Symmetry of Klein-Gordon-Fock Equations 1

- A. Nikitin, O. I. Prylypko
- Physics, Mathematics
- 1 June 2005

The paper studies non-Lie symmetry of the Klein–Gordon–Fock equation (KGF) in (p + q)-dimensional Minkowsky space. Full set of symmetry operators for the norder KGF equation was explicitly calculated… Expand

9 1- PDF

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